Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of
1 answer:
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Answer:
See the attached figure 2.
Step-by-step explanation:
The question is as shown at the attached figure 1.
given: The garden is a right triangle with base 10 m and height 15 m.
We need to draw the garden such that 1 unit on the grid represents 2 m.
So the scale factor is 1 unit = 2 m
base = 10 m = 10/2 = 5 units
height = 15 m = 15/2 = 7.5 units
So, the garden on the grid will be a right triangle with base 5 units and height 7.5 units.
See the attached figure.
Answer:
5 trees should be planted to maximize the yield per acre,
The maximum yield would be 1250
Step-by-step explanation:
Given,
The original number of trees per acre = 20,
Average pounds of nuts by a tree = 60,
Let x be the times of increment in number of trees,
So, the new number of trees planted per acre = 20 + x
∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,
So, the new number of pounds of nut = (60 - 2x)
Thus, the total yield per acre,
Differentiating with respect to t ( time ),
Again differentiating with respect to t,
For maxima or minima,
⇒ 20 - 4x = 0
⇒ 20 = 4x
⇒ x = 5,
For x = 5, Y''(x) = negative,
Hence, Y(x) is maximum for x = 5,
And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,
i.e. 5 trees should be planted to maximize the yield per acre,
and the maximum yield would be 1250 pounds